rootacess/math-qa-classification · Datasets at Hugging Face

Problem stringlengths 5 967	category class label 6 classes
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 540 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )	1physics
in the first 10 overs of a cricket game , the run rate was only 3.4 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?	2gain
the average weight of a group of boys is 20 kg . after a boy of weight 32 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?	0general
a football team lost 5 yards and then gained 11 . what is the team ' s progress ?	2gain
two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 160 m , in what time will they cross other travelling in opposite direction ?	1physics
last year a worker saved 10 % of her annual salary . this year , she made 10 % more money than last year and she saved 12 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?	2gain
what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 120 ?	0general
how many distinct integer values of n satisfy the inequality \| \| n - 3 \| + 4 \| ≤ 14 ?	0general
a sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years . the sum is :	2gain
a woman spends 15 % of her income in house rent , 15 % of the rest on his children ’ s education , 10 % of the rest miscellaneous causes and 15 % in medical expenses . if she now posses rs . 5548 then her income is ?	2gain
a student got twice as many sums wrong as he got right . if he attempted 48 sums in all , how many did he solve correctly ?	0general
a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?	2gain
reeya obtained 50 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average	0general
5 goats ’ s and 10 hens are brought for rs . 2500 . if the average price of a hen be rs . 50 . what is the average price of a goat .	0general
kareena , saif , and a puppy start walking down a road . they start at the same time , from the same point , in the same direction . the saif walks at 5 miles / hour kareena at 6 miles / hour . the puppy runs from saif to kareena and back again with a constant speed of 10 miles / hour . the puppy does not slow down on the turn . how far does the puppy travel in 1 hour ?	1physics
if m is a positive integer and m ^ 2 is divisible by 39 , then the largest positive integer that must divide m is ?	0general
a man can row 6 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?	1physics
for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 315 what is the least possible value of k ?	0general
find the value of a from ( 15 ) ^ 2 x 8 ^ 3 ã · 256 = a .	0general
the sum of two prime numbers is 85 . what is the product of these two prime numbers ?	0general
a and b can do a work in 15 days , b and c in 30 days , c and a in 45 days . if a , b and c work together , they will complete the work in ?	1physics
a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,053 . how much did she invest at 5 % ?	2gain
6 ! / ( 6 - 3 ) ! = ?	0general
x is a positive integer less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ?	0general
the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 27 ?	0general
the average age of the boys in a class is 16 years and that of the girls is 15 years . the average age for the whole class is	0general
the length of the bridge , which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds , is :	1physics
a collection of books went on sale , and 2 / 3 of them were sold for $ 3 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ?	0general
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?	0general
if ( 2 ^ 12 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?	0general
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 125 resolutions ?	1physics
if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 160 pounds . what is leo ' s current weight ?	2gain
if 40 % of a certain number is 160 , then what is 60 % of that number ?	2gain
if 22 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ?	0general
if a : b : c = 3 : 4 : 7 , then the ratio ( a + b + c ) : c is equal to	0general
a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.05 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the fifth day it is overdue ?	0general
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 230 , what were her original savings ?	0general
45 x ? = 10 % of 900	0general
a circle graph shows how the budget of a certain company was spent : 20 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ?	3geometry
sales price is $ 44 , gross profit is 120 % of cost , what is the value of gross profit ?	2gain
seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 25 % ryegrass and 75 % fescue . if a mixture of x and y contains 30 % ryegrass , what percent of the weight of the mixture is x ?	2gain
a circular road runs around a circular garden . if the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one - third of the outer circle , then the width of the road is :	0general
in a multiple choice test comprising 5 questions , each with 4 choices , what is the probability of a student getting 3 or more questions correct ? each question has only one correct answer and the student is equally likely to choose any of the 4 choices .	0general
p and q together can do a work in 6 days . if p alone can do it in 15 days . in how many days can q alone do it ?	1physics
in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 12 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ?	5other
the ratio between the sale price and the cost price of an article is 9 : 5 . what is the ratio between the profit and the cost price of that article ?	5other
a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 300 , find the original price per kg ?	2gain
8 is 6 % of a , and 6 is 8 % of b . c equals b / a . what is the value of c ?	0general
of the 65 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?	5other
exactly 3 / 8 of the people in the room are under the age of 21 , and exactly 5 / 12 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?	0general
we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 10 , and the difference between the total number of strawberries and the total number of blueberries would increase by 50 . each blue box contains how many blueberries ?	0general
if x / y = 3 and ( 2 a - x ) / ( 3 b - y ) = 3 , then the value of a / b is ?	0general
if z is a multiple of 9702 , what is the remainder when z ^ 2 is divided by 4 ?	0general
a man buys a cycle for rs . 1400 and sells it at a loss of 15 % . what is the selling price of the cycle ?	2gain
a and b can finish a work in 12 days while a alone can do the same work in 24 days . in how many days b alone will complete the work ?	1physics
when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 2 ) ^ 2 is divided by 5 ?	0general
if an average hard drive had a capacity of 0.3 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ?	0general
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 250 resolutions ?	1physics
if grapes are 93 % water and raisins are 16 % water , then how many kilograms did a quantity of raisins , which currently weighs 8 kilograms , weigh when all the raisins were grapes ? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation . )	0general
find the slope of the line perpendicular to the line y = x - 7	0general
set a consists of all the prime numbers between 10 and 25 . what is the range of set a ?	0general
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 370 m long platform ?	1physics
a train of 25 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 2.5 km long ?	1physics
the length of a rectangle is halved , while its breadth is tripled . what is the % change in area ?	3geometry
there were two candidates in an election . winner candidate received 60 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?	2gain
in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 2 , − 3 ) ?	0general
the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :	5other
a and b undertake to do a piece of work for rs . 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . ! find the share of b .	1physics
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions	1physics
a 220 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?	1physics
the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 402 to 500 inclusive ?	0general
we run a business that rents out canoes and kayaks . a canoe rental costs $ 9 per day , and a kayak rental costs $ 12 dollars per day . one day , our business rents out 4 canoes for every 3 kayaks and receives a total of $ 432 in revenue . how many more canoes than kayaks were rented out ?	0general
ramu bought an old car for rs . 48000 . he spent rs . 14000 on repairs and sold it for rs . 72900 . what is his profit percent ?	2gain
rs . 2600 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 140 . how much was lent at 5 % ?	2gain
a bag contains 6 white marbles and 6 black marbles . if each of 6 girls and 6 boys randomly selects and keeps a marble , what is the probability that all of the girls select the same colored marble ?	4probability
the average weight of 7 person ' s increases by 3.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ?	0general
in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 32 people were made to stand in a column , how many columns could be formed ?	5other
what least number must be subtracted from 427398 so that remaining no . is divisible by 10	0general
the average age of applicants for a new job is 10 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?	0general
ajay can ride 50 km in 1 hour . in how many hours he can ride 900 km ?	1physics
a and b invests rs . 6000 and rs . 12000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?	2gain
tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 7 even numbers . his mother immediately worked out the answer . how much had he scored in math ?	1physics
the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 80 metres ?	1physics
a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 44 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?	0general
each week , harry is paid x dollars per hour for the first 21 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?	0general
the volume of a cube is 729 cc . find its surface .	3geometry
a bag contains 4 white marbles and 4 black marbles . if each of 4 girls and 4 boys randomly selects and keeps a marble , what is the probability that all of the girls select the same colored marble ?	4probability
a can knit a pair of socks in 3 days . b can knit the same thing in 6 days . if they are knitting together , in how many days will they knit two pairs of socks ?	1physics
the difference between c . i . and s . i . on an amount of $ 20,000 for 2 years is $ 72 . what is the rate of interest per annum ?	2gain
running at their respective constant rates , machine x takes 6 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 2 w widgets ?	0general
find the ones digit of 73 ^ 353	0general
if 2 x + y = 26 and x + 2 y = 10 , then ( x + y ) / 3 =	0general
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 16 per cubic meter ?	1physics
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1015 . find the cost of each ice - cream cup ?	0general
a , b , c subscribe rs . 50000 for a business , a subscribes rs . 4000 more than b and b rs . 5000 more thanc . out of a total profit of rs . 35000 , a receives :	0general
a certain car ' s price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 2,000 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ?	2gain
a , b and c can do a piece of work in 24 days , 30 days and 40 days respectively . they began the work together but c left 6 days before the completion of the work . in how many days was the work completed ?	1physics
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 300 , what were her original savings ?	0general
walking 7 / 6 of his usual rate , a boy reaches his school 6 min early . find his usual time to reach the school ?	2gain
a jogger running at 9 kmph along side a railway track is 230 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?	1physics

eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 540 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )

1physics

in the first 10 overs of a cricket game , the run rate was only 3.4 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

2gain

the average weight of a group of boys is 20 kg . after a boy of weight 32 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?

0general

a football team lost 5 yards and then gained 11 . what is the team ' s progress ?

2gain

two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 160 m , in what time will they cross other travelling in opposite direction ?

1physics

last year a worker saved 10 % of her annual salary . this year , she made 10 % more money than last year and she saved 12 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?

2gain

what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 120 ?

0general

how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 14 ?

0general

a sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years . the sum is :

2gain

a woman spends 15 % of her income in house rent , 15 % of the rest on his children ’ s education , 10 % of the rest miscellaneous causes and 15 % in medical expenses . if she now posses rs . 5548 then her income is ?

2gain

a student got twice as many sums wrong as he got right . if he attempted 48 sums in all , how many did he solve correctly ?

0general

a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?

2gain

reeya obtained 50 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average

0general

5 goats ’ s and 10 hens are brought for rs . 2500 . if the average price of a hen be rs . 50 . what is the average price of a goat .

0general

kareena , saif , and a puppy start walking down a road . they start at the same time , from the same point , in the same direction . the saif walks at 5 miles / hour kareena at 6 miles / hour . the puppy runs from saif to kareena and back again with a constant speed of 10 miles / hour . the puppy does not slow down on the turn . how far does the puppy travel in 1 hour ?

1physics

if m is a positive integer and m ^ 2 is divisible by 39 , then the largest positive integer that must divide m is ?

0general

a man can row 6 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?

1physics

for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 315 what is the least possible value of k ?

0general

find the value of a from ( 15 ) ^ 2 x 8 ^ 3 ã · 256 = a .

0general

the sum of two prime numbers is 85 . what is the product of these two prime numbers ?

0general

a and b can do a work in 15 days , b and c in 30 days , c and a in 45 days . if a , b and c work together , they will complete the work in ?

1physics

a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,053 . how much did she invest at 5 % ?

2gain

6 ! / ( 6 - 3 ) ! = ?

0general

x is a positive integer less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ?

0general

the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 27 ?

0general

the average age of the boys in a class is 16 years and that of the girls is 15 years . the average age for the whole class is

0general

the length of the bridge , which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds , is :

1physics

a collection of books went on sale , and 2 / 3 of them were sold for $ 3 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ?

0general

the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?

0general

if ( 2 ^ 12 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?

0general

the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 125 resolutions ?

1physics

if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 160 pounds . what is leo ' s current weight ?

2gain

if 40 % of a certain number is 160 , then what is 60 % of that number ?

2gain

if 22 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ?

0general

if a : b : c = 3 : 4 : 7 , then the ratio ( a + b + c ) : c is equal to

0general

a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.05 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the fifth day it is overdue ?

0general

linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 230 , what were her original savings ?

0general

45 x ? = 10 % of 900

0general

a circle graph shows how the budget of a certain company was spent : 20 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ?

3geometry

sales price is $ 44 , gross profit is 120 % of cost , what is the value of gross profit ?

2gain

seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 25 % ryegrass and 75 % fescue . if a mixture of x and y contains 30 % ryegrass , what percent of the weight of the mixture is x ?

2gain

a circular road runs around a circular garden . if the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one - third of the outer circle , then the width of the road is :

0general

in a multiple choice test comprising 5 questions , each with 4 choices , what is the probability of a student getting 3 or more questions correct ? each question has only one correct answer and the student is equally likely to choose any of the 4 choices .

0general

p and q together can do a work in 6 days . if p alone can do it in 15 days . in how many days can q alone do it ?

1physics

in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 12 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ?

5other

the ratio between the sale price and the cost price of an article is 9 : 5 . what is the ratio between the profit and the cost price of that article ?

5other

a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 300 , find the original price per kg ?

2gain

8 is 6 % of a , and 6 is 8 % of b . c equals b / a . what is the value of c ?

0general

of the 65 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?

5other

exactly 3 / 8 of the people in the room are under the age of 21 , and exactly 5 / 12 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?

0general

we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 10 , and the difference between the total number of strawberries and the total number of blueberries would increase by 50 . each blue box contains how many blueberries ?

0general

if x / y = 3 and ( 2 a - x ) / ( 3 b - y ) = 3 , then the value of a / b is ?

0general

if z is a multiple of 9702 , what is the remainder when z ^ 2 is divided by 4 ?

0general

a man buys a cycle for rs . 1400 and sells it at a loss of 15 % . what is the selling price of the cycle ?

2gain

a and b can finish a work in 12 days while a alone can do the same work in 24 days . in how many days b alone will complete the work ?

1physics

when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 2 ) ^ 2 is divided by 5 ?

0general

if an average hard drive had a capacity of 0.3 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ?

0general

the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 250 resolutions ?

1physics

if grapes are 93 % water and raisins are 16 % water , then how many kilograms did a quantity of raisins , which currently weighs 8 kilograms , weigh when all the raisins were grapes ? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation . )

0general

find the slope of the line perpendicular to the line y = x - 7

0general

set a consists of all the prime numbers between 10 and 25 . what is the range of set a ?

0general

a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 370 m long platform ?

1physics

a train of 25 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 2.5 km long ?

1physics

the length of a rectangle is halved , while its breadth is tripled . what is the % change in area ?

3geometry

there were two candidates in an election . winner candidate received 60 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?

2gain

in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 2 , − 3 ) ?

0general

the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :

5other

a and b undertake to do a piece of work for rs . 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . ! find the share of b .

1physics

the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions

1physics

a 220 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?

1physics

the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 402 to 500 inclusive ?

0general

we run a business that rents out canoes and kayaks . a canoe rental costs $ 9 per day , and a kayak rental costs $ 12 dollars per day . one day , our business rents out 4 canoes for every 3 kayaks and receives a total of $ 432 in revenue . how many more canoes than kayaks were rented out ?

0general

ramu bought an old car for rs . 48000 . he spent rs . 14000 on repairs and sold it for rs . 72900 . what is his profit percent ?

2gain

rs . 2600 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 140 . how much was lent at 5 % ?

2gain

a bag contains 6 white marbles and 6 black marbles . if each of 6 girls and 6 boys randomly selects and keeps a marble , what is the probability that all of the girls select the same colored marble ?

4probability

the average weight of 7 person ' s increases by 3.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ?

0general

in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 32 people were made to stand in a column , how many columns could be formed ?

5other

what least number must be subtracted from 427398 so that remaining no . is divisible by 10

0general

the average age of applicants for a new job is 10 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?

0general

ajay can ride 50 km in 1 hour . in how many hours he can ride 900 km ?

1physics

a and b invests rs . 6000 and rs . 12000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?

2gain

tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 7 even numbers . his mother immediately worked out the answer . how much had he scored in math ?

1physics

the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 80 metres ?

1physics

a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 44 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?

0general

each week , harry is paid x dollars per hour for the first 21 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?

0general

the volume of a cube is 729 cc . find its surface .

3geometry

a bag contains 4 white marbles and 4 black marbles . if each of 4 girls and 4 boys randomly selects and keeps a marble , what is the probability that all of the girls select the same colored marble ?

4probability

a can knit a pair of socks in 3 days . b can knit the same thing in 6 days . if they are knitting together , in how many days will they knit two pairs of socks ?

1physics

the difference between c . i . and s . i . on an amount of $ 20,000 for 2 years is $ 72 . what is the rate of interest per annum ?

2gain

running at their respective constant rates , machine x takes 6 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 2 w widgets ?

0general

find the ones digit of 73 ^ 353

0general

if 2 x + y = 26 and x + 2 y = 10 , then ( x + y ) / 3 =

0general

find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 16 per cubic meter ?

1physics

alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1015 . find the cost of each ice - cream cup ?

0general

a , b , c subscribe rs . 50000 for a business , a subscribes rs . 4000 more than b and b rs . 5000 more thanc . out of a total profit of rs . 35000 , a receives :

0general

a certain car ' s price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 2,000 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ?

2gain

a , b and c can do a piece of work in 24 days , 30 days and 40 days respectively . they began the work together but c left 6 days before the completion of the work . in how many days was the work completed ?

1physics

linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 300 , what were her original savings ?

0general

walking 7 / 6 of his usual rate , a boy reaches his school 6 min early . find his usual time to reach the school ?

2gain

a jogger running at 9 kmph along side a railway track is 230 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?

1physics